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Finding the Fourth Proportional to 551,491.88, 761,059.19 and 309,774.58

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Solution

The fourth proportional to 551,491.88, 761,059.19 and 309,774.58 is: 427,489.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,491.88 : 761,059.19 = 309,774.58 : x
  2. Step 2: Convert to fraction form
    551,491.88/761,059.19 = 309,774.58/x
  3. Step 3: Cross multiply
    551,491.88x = 761,059.19 × 309,774.58
  4. Step 4: Simplify right side
    551,491.88x = 235,756,790,937.39
  5. Step 5: Solve for x
    x = 235,756,790,937.39/551,491.88
  6. Step 6: Final answer
    x = 427,489.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.